Find the equation of the conicoid

[debrajr]

Find the equation of the conicoid
$$2x^2-y^2=z^2+2x-7$$
when the origin is shifted to
$$(2,-2,0)$$
and the axes are rotated so that the new axes have direction ratios
$$-1,0,1;1,-2,1;0,1,1$$

 

[Greg]

Hello debrajr and welcome to MHB! :D

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